On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials

被引：6
|
作者：
Koornwinder, Tom H. [1 ]
机构：
[1] Univ Amsterdam, Korteweg de Vries Inst, NL-1090 GE Amsterdam, Netherlands
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2011年 / 7卷
关键词：
Askey scheme; q-Askey scheme; q-Racah polynomials; big q-Jacobi polynomials; multi-parameter limit;
D O I：
10.3842/SIGMA.2011.040
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also involving (q-)Hahn polynomials, little q-Jacobi polynomials and Jacobi polynomials. Also the limits from Askey-Wilson to Wilson polynomials and from q-Racah to Racah polynomials are given in a more conceptual way.
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页数：8
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